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Finding the Third Proportional to 369,450 and 797,836

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Solution

The third proportional to 369,450 and 797,836 is: 1,722,945.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    369,450 : 797,836 = 797,836 : x
  2. Step 2: Convert to fraction form
    369,450/797,836 = 797,836/x
  3. Step 3: Cross multiply
    369,450x = 797,836 × 797,836
  4. Step 4: Simplify right side
    369,450x = 636,542,282,896
  5. Step 5: Solve for x
    x = 636,542,282,896/369,450
  6. Step 6: Final answer
    x = 1,722,945.68

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.